Analysis of F questions in the 2021 American College Students Mathematical Contest in Modeling

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2021 Beauty Contest title download: link: https://pan.baidu.com/s/1yFdg3vBMS4MY7CnQ3PMG9Q
extraction code: 6666

Original translation

  • ICC 2021
    Question F: Check the pulse and temperature
    of higher education What does it mean to have a healthy and sustainable higher education system in a country? What issues are important? Is it cost, opportunity, fairness, funding, the value of a degree, the quality of education, the level of research, the exchange of ideas among the brightest minds in the world, some, all of the above, or other things? The higher education system is an important factor in a country’s efforts to further educate its citizens rather than the required primary and secondary education. Therefore, it is both an industry itself and a source of trained and educated citizens in the country’s economy. When we look around the world, from Germany to the United States, from Japan to Australia, we see higher education methods in various countries. These countries not only educate their own students, but also attract a large number of international students every year. The higher education systems of these countries have their own strengths and weaknesses. After the adjustments required by the current pandemic, countries have the opportunity to think about what is feasible and what is better. However, change is often difficult. The institutional reforms required to advance any system require long-term implementation of policies in order to establish a healthier and more sustainable system. In this issue, you will develop a model to measure and evaluate the health status of the national first-level higher education system to determine a healthy and sustainable state. Consider the country’s higher education system, and propose and analyze a set of policies that will A country moves from its current state to the healthy and sustainable state you propose. Specifically, you are asked to:

  • Develop and validate a model or set of models that will enable you to assess the health of the higher education system in any country;

  • Apply your model to several countries, and then choose a country whose higher education system has room for improvement based on your analysis;

  • Propose an achievable and reasonable vision for the system of your chosen country to support a healthy and sustainable higher education system;

  • Use your model to measure the health of the current system, as well as a healthy and sustainable system proposed for your selected country;

  • Propose targeted policies and implementation timetables to support the migration from the current state to your proposed state;

  • Use your model to shape and/or evaluate the effectiveness of your policies; and

  • Discuss the real-world impact of implementing your plan during the transition period and in the final state (for example, on students, teachers, schools, communities, countries), and acknowledge that change is a difficult reality.
    The interdisciplinary and diverse ICM-F committees from policy, higher education, social and political sciences, and mathematics are looking forward to your final report. Your PDF solution does not exceed 25 pages and should include:

  • One page summary table.

  • table of Contents.

  • Your solution.

  • List of references.
    Note: The new ICM competition in 2021 now has a 25-page limit. All aspects of your submission are calculated on the 25-page
    limit: summary sheet, table of contents, main body of the solution, images and tables, reference list and any appendices.
    Vocabulary
    Higher education (college education, tertiary or higher education): An optional final stage of formal learning that occurs after completing the required (multiple secondary) level of education. Sustainable system: A system that maintains its effectiveness over time. System health: Measure an organization or system around a common vision, effectively implement the vision, and update its ability through innovation and creative thinking. Higher education system: an organizational structure composed of higher education institutions (colleges, universities, etc.). ) And the personnel and infrastructure needed to educate students above the secondary level.

    Thinking analysis

Problem center: Check the pulse and temperature of higher education.
Brief thinking: This problem is relatively abstract, but it expresses the problems faced by our higher education groups, that is, the differences in higher education mechanisms in different countries and regions. Undoubtedly, it is impossible for all countries to apply the same educational mechanism. How to give a healthy and sustainable development model or suggestion is the key to this question.
Question 1 (Educational mechanism health evaluation model)
Based on the cost, access rights, fairness, funding, degree value, education quality, research level, platform superiority and other indicators, establish a health evaluation model (AHP, fuzzy evaluation, comprehensive evaluation model)
Question 2 (Solving the model)
Solve the health index of some countries based on the relevant index data of each country, and analyze the education level of countries with room for improvement.
Question 3 (model analysis)
Based on the results of examples, this question gives suggestions for improvement to the country, and determines which indicators can be adjusted to improve the country’s educational health.
Question 4 (model analysis)
analyze the change process of different indicators, construct the relationship between the country's education level improvement process over time, and give a timetable.
Question 5 (Model Evaluation)
Explain the effectiveness of your model to solve the problem, the expected effect, etc.
Question 6 (model expansion)
analysis shows the key difficulties and constructive solutions for the country in the process of improving the level of education and health (transition period, final stage).

supplement

F question ideas supplement: Checking the Pulse and Temperature of Higher Education

It is an idea to look for higher education data in developed, developed, and backward countries separately.
For a systematic point, first define what is the health of higher education. Here, the factors calculated by the ranking of universities can be directly used as the factors of the health of higher education. However, the topic here is at the national level, so it is necessary to add quantity and region. Distribution (whether educational resources are evenly distributed), etc.

You can refer to the factors referenced by university rankings, such as Qingta official account, Times, QS and other official websites. The distribution of educational resources can be based on the distribution of the top universities of the university in the region of the country.

The first question is to establish an evaluation model (analytic hierarchy process, fuzzy evaluation, comprehensive evaluation model), you can add some fancy things, such as decision tree combined with AHP, neural network fuzzy evaluation, etc., the first question will not be mentioned later, the code All in the QQ group.

The second question is to apply the model of the first question to a specific country. You can also add some depth here. For example, first judge the country’s economic situation and assign weights to developed, developing, and backward countries, because backward countries can’t be more developed. Compared with countries, if the education level of backward countries is in a state of continuous development, then it can also be called relatively healthy

The third question can be specifically analyzed (language modeling) according to the country's conditions of different economic conditions, and give suggestions for improving the country, and determine which indicators can be adjusted to improve the country's educational health.

The latter part is also recommended for analysis, just focusing on control.

Welcome to join the 2021MCM/ICM contest question follow-up group: 629043705 banned the whole process, updated ideas internally

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